Adaptive schemes for incomplete quantum process tomography

We propose an iterative algorithm for incomplete quantum process tomography with the help of quantum state estimation. The algorithm, which is based on the combined principles of maximum likelihood and maximum entropy, yields a unique estimator for an unknown quantum process when one has less than a...

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Bibliographic Details
Published in:Physical review. A, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2011-12, Vol.84 (6), Article 062125
Main Authors: Teo, Yong Siah, Englert, Berthold-Georg, Řeháček, Jaroslav, Hradil, Zdeněk
Format: Article
Language:English
Subjects:
ALGORITHMS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
ENTROPY
ITERATIVE METHODS
MAXIMUM-LIKELIHOOD FIT
QUANTUM MECHANICS
QUANTUM STATES
TOMOGRAPHY
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Summary:We propose an iterative algorithm for incomplete quantum process tomography with the help of quantum state estimation. The algorithm, which is based on the combined principles of maximum likelihood and maximum entropy, yields a unique estimator for an unknown quantum process when one has less than a complete set of linearly independent measurement data to specify the quantum process uniquely. We apply this iterative algorithm adaptively in various situations and so optimize the amount of resources required to estimate a quantum process with incomplete data.
ISSN:1050-2947
1094-1622
DOI:10.1103/PhysRevA.84.062125